Least Common Multiple of 66/224, 27/383, 502/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/224, 27/383, 502/683 quickly i.e. 149094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/224, 27/383, 502/683 is 149094.

LCM(66/224, 27/383, 502/683) = 149094

LCM of 66/224, 27/383, 502/683

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 66/224,27/383,502/683

Given numbers are 66/224,27/383,502/683

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 66,27,502

Least Common Multiple of Numerators i.e. LCM of 66,27,502 is 149094.

GCF of Denominators means GCF of 224,383,683 as per the given fractions.

GCF of 224,383,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,27,502

LCM of Fractions 66/224,27/383,502/683 is 149094

2 66, 27, 502
3 33, 27, 251
11, 9, 251

∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 251 = 149094

Least Common Multiple of 66,27,502 with GCF Formula

Least Common Multiple of 66,27,502 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,27,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,27,502) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,27,502) x common factors =1 x 6 = 6

LCM(66,27,502) = ( 66 × 27 × 502 ) / 6

LCM(66,27,502) = 894564 / 6

LCM(66,27,502) = 149094


Lets's calculate GCF of 224,383,683

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149094/1

Therefore the LCM of Fractions 66/224,27/383,502/683 is 149094

Greatest Common Factor of 224,383,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,383,683 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 224,383,683 . The biggest common factor number is the GCF number.
So the greatest common factor 224,383,683 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 66/224, 27/383, 502/683

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 66/224, 27/383, 502/683?

Answer: LCM of Numerators as per given numbers 66/224, 27/383, 502/683 is

LCM of Numerators i.e. for 66,27,502 is 149094

GCF of denominators i.e. for 224,383,683 is 1.

Thus, LCM of Fractions is 149094.Finally, LCM of Fractions for 66/224, 27/383, 502/683 is 149094.